7,195,925

5² × 11 × 137 × 191

Starting at 7,195,925, the Collatz iteration reaches 1 after 90 steps. The first transition is 21587776; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 11 × 137 × 191

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 9,856,512

Proper Divisor Sum 2,660,587

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #7195907 ← → #7195933

Radix Representation

Decimal	7195925
Binary	11011011100110100010101 (23 bits)
Octal	0o33346425
Hexadecimal	0x6DCD15

Divisor Catalog (24)

1 5 11 25 55 137 191 275 685 955 1,507 2,101 3,425 4,775 7,535 10,505 26,167 37,675 52,525 130,835 287,837 654,175 1,439,185 7,195,925

Collatz Trajectory (90 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

7,195,925 21,587,776 10,793,888 5,396,944 2,698,472 1,349,236 674,618 337,309 1,011,928 505,964 252,982 126,491 379,474 189,737 569,212 284,606 142,303 426,910 213,455 640,366 320,183 960,550 480,275 1,440,826 720,413 2,161,240 1,080,620 540,310 270,155 810,466 405,233 1,215,700 607,850 303,925 911,776 455,888 227,944 113,972 56,986 28,493 85,480 42,740 21,370 10,685 32,056 16,028 8,014 4,007 12,022 6,011 18,034 9,017 27,052 13,526 6,763 20,290 10,145 30,436 15,218 7,609

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